1325546064 has 120 divisors (see below), whose sum is σ = 3774836520. Its totient is φ = 434159616.

The previous prime is 1325546041. The next prime is 1325546071. The reversal of 1325546064 is 4606455231.

1325546064 is a `hidden beast` number, since 132 + 5 + 5 + 460 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 256256064 + 1069290000 = 16008^2 + 32700^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3754912 + ... + 3755264.

It is an arithmetic number, because the mean of its divisors is an integer number (31456971).

Almost surely, 2^1325546064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1325546064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887418260).

1325546064 is an abundant number, since it is smaller than the sum of its proper divisors (2449290456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1325546064 is a wasteful number, since it uses less digits than its factorization.

1325546064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 1325546064 is about 36408.0494396500. The cubic root of 1325546064 is about 1098.4954814337.

It can be divided in two parts, 13255 and 46064, that added together give a cube (59319 = 39³).

The spelling of 1325546064 in words is "one billion, three hundred twenty-five million, five hundred forty-six thousand, sixty-four".